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| category = Mathematics, Number theory, Integer factorization Classical [[wikipedia:Mersenne number|Mersenne numbers]] are integers of the form: ...

...cally select the most efficient factorization method for a given composite number.<ref>{{cite web |url=https://sourceforge.net/projects/yafu/ |title=YAFU pro Integer factorization is an important problem in computational number theory. Many unsolved mathematical questions depend on the ability to decompose ve ...

| category = Mathematics / Number Theory ...eralized [[wikipedia:Sierpinski number|Sierpinski]] and [[wikipedia:Riesel number|Riesel]] conjectures for all integer bases <math>b \leq 1030</math>, workin ...

| name = Rectilinear Crossing Number Project ...that used distributed computing to help determine the rectilinear crossing number of the complete graph K18. ...

| category = Mathematics / Algebraic Number Theory ...mber|algebraic numbers]] in the [[wikipedia:Complex_plane|complex plane]]. Number fields are algebraic extensions of the rationals whose elements lie among t ...

<div class="bs-stat-number">335</div> <div class="bs-stat-number">77</div> ...

...structure for a chemical composition often requires searching an enormous number of possible atomic configurations. For a crystal structure containing many atoms, the number of possible arrangements increases combinatorially. Researchers attempt to ...

| category = Mathematics, Number theory ...rs]] and the advancement of computational [[wikipedia:Number theory|number theory]]. Running on the [[wikipedia:Berkeley Open Infrastructure for Network Comp ...

| category = Mathematics / Number theory ...3 = 257</math>, and <math>F_4 = 65537</math>.<ref>{{cite web |title=Fermat number |url=https://en.wikipedia.org/wiki/Fermat_number |website=Wikipedia}}</ref> ...

...oject has hosted workloads in areas including evolutionary biology, number theory, cryptography, combinatorics, optimization, and algebraic computation. Over ...eral Yoyo@home applications search for solutions to large combinatorial or number theoretic problems where brute force approaches may require evaluating extr ...

...air of numbers ([[wikipedia:220_(number)|'''''220''''']], [[wikipedia:284_(number)|'''''284''''']])]] ...amicable if the sum of the proper divisors of each number equals the other number. ...

| category = Mathematics / Number Theory The mathematical foundations of ODLK2025 rest on the theory of [[wikipedia:Prime k-tuple|prime ''k''-tuples]] and the [[wikipedia:First ...

| category = Mathematics / Number Theory ...uples]] of consecutive primes, a topic in [[wikipedia:Number theory|number theory]]. Volunteers donate idle CPU time on their personal computers to help syst ...

...integer <math>n</math> is chosen, this sequence will eventually reach the number 1.<ref name="wp_collatz">{{cite web |url=https://en.wikipedia.org/wiki/Coll A common shortcut collapses the two steps applied to an odd number into one, giving the equivalent '''Syracuse map''': ...

...lopment testbed and a home for several mathematical sub-projects in number theory and combinatorics. The project ran until December 2022, when its final admi where <math>\nu_p(\mathcal{H})</math> is the number of distinct residues modulo <math>p</math> covered by the pattern.<ref>{{Ci ...

...edia:VirtualBox|VirtualBox]] (for most applications), Docker (optional for Theory tasks) ...cle orbits remain stable over a large number of turns. Because no analytic theory can predict the long-term behaviour of particles in the strongly nonlinear ...

...n:top; padding:6px;" | '''[[PrimeGrid]]'''<br/><small>Mathematics / Number theory</small> ...'[[Rectilinear Crossing Number Project]]'''<br/><small>Mathematics / Graph theory</small> ...

...ulations in nuclear fusion, protein docking, materials science, and number theory before being relaunched in 2020 to screen drugs against SARS-CoV-2. ...ia:Materials science|materials science]], [[Wikipedia:Number theory|number theory]], and the social sciences, before its original incarnation was discontinue ...

...rations and sequence composition features specifically designed for number theory research.<ref>{{cite web |url=https://loda-lang.org/connect/ |title=Connect ...

...eling@Home's computing resources contributed, directly or indirectly, to a number of peer-reviewed papers and conference proceedings in cognitive science and ...omputational science] |journal=Computational and Mathematical Organization Theory |volume=17 |issue=3 |pages=296-313 |year=2011 |doi=10.1007/s10588-011-9092- ...